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Finding the Fourth Proportional to 99,259.75, 136,978.46 and 54,547.75

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Solution

The fourth proportional to 99,259.75, 136,978.46 and 54,547.75 is: 75,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,259.75 : 136,978.46 = 54,547.75 : x
  2. Step 2: Convert to fraction form
    99,259.75/136,978.46 = 54,547.75/x
  3. Step 3: Cross multiply
    99,259.75x = 136,978.46 × 54,547.75
  4. Step 4: Simplify right side
    99,259.75x = 7,471,866,791.47
  5. Step 5: Solve for x
    x = 7,471,866,791.47/99,259.75
  6. Step 6: Final answer
    x = 75,275.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.